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-// polynomial for approximating v_log10f(1+x)
-//
-// Copyright (c) 2019-2023, Arm Limited.
-// SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
-
-deg = 9; // poly degree
-// |log10(1+x)| > 0x1p-4 outside the interval
-a = -1/3;
-b = 1/3;
-
-display = hexadecimal;
-print("log10(2) = ", single(log10(2)));
-
-ln10 = evaluate(log(10),0);
-invln10 = single(1/ln10);
-
-// find log10(1+x)/x polynomial with minimal relative error
-// (minimal relative error polynomial for log10(1+x) is the same * x)
-deg = deg-1; // because of /x
-
-// f = log(1+x)/x; using taylor series
-f = 0;
-for i from 0 to 60 do { f = f + (-x)^i/(i+1); };
-f = f/ln10;
-
-// return p that minimizes |f(x) - poly(x) - x^d*p(x)|/|f(x)|
-approx = proc(poly,d) {
- return remez(1 - poly(x)/f(x), deg-d, [a;b], x^d/f(x), 1e-10);
-};
-
-// first coeff is fixed, iteratively find optimal double prec coeffs
-poly = invln10;
-for i from 1 to deg do {
- p = roundcoefficients(approx(poly,i), [|SG ...|]);
- poly = poly + x^i*coeff(p,0);
-};
-display = hexadecimal;
-print("invln10:", invln10);
-print("rel error:", accurateinfnorm(1-poly(x)/f(x), [a;b], 30));
-print("in [",a,b,"]");
-print("coeffs:");
-for i from 0 to deg do single(coeff(poly,i));
-
-display = decimal;
-print("in [",a,b,"]");